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Sparse Numerical Semigroups

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes (AAECC 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5527))

Abstract

We investigate the class of numerical semigroups verifying the property ρ i + 1 − ρ i  ≥ 2 for every two consecutive elements smaller than the conductor. These semigroups generalize Arf semigroups.

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Author information

Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Valladolid, Avda Salamanca SN, 47012, Valladolid, Castilla, Spain

    C. Munuera

  2. IMECC-UNICAMP, Cx.P. 6065, 13083-970, Campinas-SP, Brasil

    F. Torres & J. Villanueva

Authors
  1. C. Munuera
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  2. F. Torres
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  3. J. Villanueva
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Editor information

Editors and Affiliations

  1. Departament d’Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, Avinguda Països Catalans, 26, 43007, Tarragona, Spain

    Maria Bras-Amorós

  2. Department of Mathematics, The Technical University of Denmark, Building 303, 2800, Lyngby, Denmark

    Tom Høholdt

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© 2009 Springer-Verlag Berlin Heidelberg

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Munuera, C., Torres, F., Villanueva, J. (2009). Sparse Numerical Semigroups. In: Bras-Amorós, M., Høholdt, T. (eds) Applied Algebra, Algebraic Algorithms and Error-Correcting Codes. AAECC 2009. Lecture Notes in Computer Science, vol 5527. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02181-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-02181-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02180-0

  • Online ISBN: 978-3-642-02181-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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